Group contraction and the nine Cayley-Klein geometries

DOI10.1007/BF02080668zbMath0543.51019OpenAlexW1975627364MaRDI QIDQ796105

Fernández M. A. Sanjuan

Publication date: 1984

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02080668

zbMATH Keywords

Cayley-Klein geometriesgroup contractionskinematic groupsthreedimensional connected Lie groups

Mathematics Subject Classification ID

Metric geometry (51F99) Real and complex geometry (51M99)

Related Items (5)

Unnamed Item ⋮ One-parameter homothetic motions and Euler-Savary formula in generalized complex number plane \(\mathbb C_J\) ⋮ One-parameter planar motions in generalized complex number plane \({\mathbb{C}_{J}}\) ⋮ Transitions: Contractions and analytical continuations of the Cayley- Klein groups ⋮ A study of the action from kinematical integral geometry point of view

Cites Work

• Who is afraid of nonhermitian operators? A quantum description of angle and phase
• Possible Kinematics
• On the Contraction of Groups and Their Representations
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